通用 D-模与$n$维簇的\'etale 芽堆
代数几何
2017-02-27 v3 表示论
摘要
我们引入了对带基点维簇的\'etale 芽进行分类的堆。我们证明了这些堆上的拟凝聚层是通用的 D-模和 O-模。我们陈述并证明了 Artin 逼近定理的一个相对版本，并据此将我们的堆识别为维形式盘的自同构群的分类堆。我们引入了收敛通用模的概念，并根据这些堆以及自同构群的表示论对其进行了研究。
引用
@article{arxiv.1410.8457,
title = {Universal D-modules and stacks of \'etale germs of n-dimensional varieties},
author = {Emily Cliff},
journal= {arXiv preprint arXiv:1410.8457},
year = {2017}
}
备注
61 pages. Version 1 had a gap: Artin's approximation theorem was misstated and the incorrect version was used. This gap has been fixed, using new material in sections 2 and 5. Section 8 has been added, to treat the dg-categorical version of the results. The paper has been restructured and the introduction has been expanded. Version 3: minor changes